I'm 17 years old and a dependent of my parents. Filing my own return due to interest and dividend income. Is interest from my CD taxable by federal and state

[MinhT1]

Please note that you only have to file a return if the total of your unearned income is over $1,100. 

Yes, interest from your CD is taxable at the Federal and state level.

Please read this TurboTax article for more information.

[Opus 17]

See these articles.

https://turbotax.intuit.com/tax-tips/family/tax-filing-requirements-for-children/L8ice6z0K

https://ttlc.intuit.com/community/income/help/what-is-the-kiddie-tax/00/25913

You can prepare a return in turbotax and it is free to start, and the program will tell you if you don't have to file.

You may want to consult with your parents because you have two options for how to calculate the "kiddie tax" on investment income in 2019 and one may be better than the other.